Class 8 Maths Worksheet: Algebraic Identities

Maths worksheets lesson 61: Algebraic identities · Set 613 · 40 sums

The method (Split into easy parts): (a + b)² = a² + 2ab + b². (a − b)² = a² − 2ab + b². (a + b)(a − b) = a² − b²; so a² − b² = (a + b)(a − b). a² + b² = (a + b)² − 2ab = (a − b)² + 2ab.

1. 1.Use (a − b)² = a² − 2ab + b² to find 88².
2. 2.Use (a + b)² = a² + 2ab + b² to find 93².
3. 3.Use (a − b)² = a² − 2ab + b² to find 93².
4. 4.Use (a + b)² = a² + 2ab + b² to find 26².
5. 5.Use a² − b² = (a + b)(a − b) to find 69² − 14².
6. 6.Use (a + b)(a − b) = a² − b² to find 49 × 31.
7. 7.Find the value of x² − y² when x = 10 and y = 8.
8. 8.Find the value of x² + 2xy + y² when x = 11 and y = 5.
9. 9.Use a² − b² = (a + b)(a − b) to find 45² − 6².
10. 10.Use (a + b)(a − b) = a² − b² to find 31 × 29.
11. 11.Use (a + b)(a − b) = a² − b² to find 104 × 96.
12. 12.Use (a + b)(a − b) = a² − b² to find 26 × 14.
13. 13.Use (a + b)(a − b) = a² − b² to find 22 × 18.
14. 14.Use (a − b)² = a² − 2ab + b² to find 66².
15. 15.Use (a − b)² = a² − 2ab + b² to find 14².
16. 16.Use (a + b)(a − b) = a² − b² to find 67 × 53.
17. 17.Use (a + b)² = a² + 2ab + b² to find 19².
18. 18.Use (a + b)² = a² + 2ab + b² to find 22².
19. 19.Use (a + b)² = a² + 2ab + b² to find 72².
20. 20.If a + b = 8 and ab = 15, what is a² + b²?
21. 21.Use (a − b)² = a² − 2ab + b² to find 34².
22. 22.If a − b = 1 and ab = 42, what is a² + b²?
23. 23.Use a² − b² = (a + b)(a − b) to find 82² − 27².
24. 24.Find the value of x² + 2xy + y² when x = 9 and y = 4.
25. 25.Use (a + b)(a − b) = a² − b² to find 54 × 46.
26. 26.Use (a + b)(a − b) = a² − b² to find 93 × 87.
27. 27.Use a² − b² = (a + b)(a − b) to find 20² − 9².
28. 28.If a + b = 13 and ab = 40, what is a² + b²?
29. 29.Use (a − b)² = a² − 2ab + b² to find 97².
30. 30.Use (a + b)² = a² + 2ab + b² to find 77².
31. 31.Find the value of x² − y² when x = 5 and y = 1.
32. 32.Use (a + b)² = a² + 2ab + b² to find 14².
33. 33.Use (a − b)² = a² − 2ab + b² to find 41².
34. 34.Use (a − b)² = a² − 2ab + b² to find 19².
35. 35.Use (a + b)² = a² + 2ab + b² to find 52².
36. 36.Use (a + b)² = a² + 2ab + b² to find 67².
37. 37.Use (a − b)² = a² − 2ab + b² to find 78².
38. 38.If a − b = 3 and ab = 18, what is a² + b²?
39. 39.Use (a − b)² = a² − 2ab + b² to find 62².
40. 40.Use (a + b)² = a² + 2ab + b² to find 92².

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